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Finding the Third Proportional to 32,391,683 and 49,670,160

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Solution

The third proportional to 32,391,683 and 49,670,160 is: 76,165,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,391,683 : 49,670,160 = 49,670,160 : x
  2. Step 2: Convert to fraction form
    32,391,683/49,670,160 = 49,670,160/x
  3. Step 3: Cross multiply
    32,391,683x = 49,670,160 × 49,670,160
  4. Step 4: Simplify right side
    32,391,683x = 2,467,124,794,425,600
  5. Step 5: Solve for x
    x = 2,467,124,794,425,600/32,391,683
  6. Step 6: Final answer
    x = 76,165,378.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.